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Finding the Fourth Proportional to 135.50, 203.24 and 103.64

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Solution

The fourth proportional to 135.50, 203.24 and 103.64 is: 155.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.50 : 203.24 = 103.64 : x
  2. Step 2: Convert to fraction form
    135.50/203.24 = 103.64/x
  3. Step 3: Cross multiply
    135.50x = 203.24 × 103.64
  4. Step 4: Simplify right side
    135.50x = 21,063.04
  5. Step 5: Solve for x
    x = 21,063.04/135.50
  6. Step 6: Final answer
    x = 155.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.